21/17: Difference between revisions

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**Imported revision 602876800 - Original comment: **
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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
{{Infobox Interval
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
| Name = septendecimal submajor third
: This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2016-12-28 14:08:29 UTC</tt>.<br>
| Color name = 17uz3, suzo 3rd
: The original revision id was <tt>602876800</tt>.<br>
| Sound = jid_21_17_pluck_adu_dr220.mp3
: The revision comment was: <tt></tt><br>
}}
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
<h4>Original Wikitext content:</h4>
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">**21/17**
|0 1 0 1 0 0 -1&gt;
365.8255 cents
[[media type="file" key="jid_21_17_pluck_adu_dr220.mp3"]] [[file:xenharmonic/jid_21_17_pluck_adu_dr220.mp3|sound sample]]


The **septendecimal submajor third**. Its inverse is the septendecimal supraminor sixth [[34_21|34/21]]
'''21/17''' is the '''septendecimal submajor third'''. It is well represented in [[23edo]] and [[36edo]].


See: [[Gallery of Just Intervals]]</pre></div>
== See also ==
<h4>Original HTML content:</h4>
* [[34/21]] – its [[octave complement]]
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;21_17&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;strong&gt;21/17&lt;/strong&gt;&lt;br /&gt;
* [[17/14]] – its [[fifth complement]]
|0 1 0 1 0 0 -1&amp;gt;&lt;br /&gt;
* [[Gallery of just intervals]]
365.8255 cents&lt;br /&gt;
 
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[[Category:Third]]
&lt;br /&gt;
[[Category:Submajor third]]
The &lt;strong&gt;septendecimal submajor third&lt;/strong&gt;. Its inverse is the septendecimal supraminor sixth &lt;a class="wiki_link" href="/34_21"&gt;34/21&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
See: &lt;a class="wiki_link" href="/Gallery%20of%20Just%20Intervals"&gt;Gallery of Just Intervals&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>

Latest revision as of 21:35, 30 April 2025

Interval information
Ratio 21/17
Factorization 3 × 7 × 17-1
Monzo [0 1 0 1 0 0 -1
Size in cents 365.8255¢
Name septendecimal submajor third
Color name 17uz3, suzo 3rd
FJS name [math]\displaystyle{ \text{M3}^{7}_{17} }[/math]
Special properties reduced
Tenney height (log2 nd) 8.47978
Weil height (log2 max(n, d)) 8.78463
Wilson height (sopfr(nd)) 27

[sound info]
Open this interval in xen-calc

21/17 is the septendecimal submajor third. It is well represented in 23edo and 36edo.

See also